Let f,g:R→R be two functions defined by f(x)={xsin(x1)0,,x=0,x=0 and g(x)=xf(x) Statement I: f is a continuous function at x=0. Statement II: g is a differentiable function at x=0.
Held on 12 Apr 2014 · Verified 6 Jul 2026.
Both statement I and II are false.
Both statement I and II are true.
Statement I is true, statement II is false.
Statement I is false, statement II is true.
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